a complex number is a rational number?

Complex numbers are a separate set of numbers from the real numbers.
Rational numbers are a subset of the set of real numbers.
So complex numbers are not rational.
 
fasteddie65 said:
Complex numbers are a separate set of numbers from the real numbers. Not so Fast, Eddie. You need to follow Elizabeth's response.

The set of real numbers is a subset of the set of complex numbers.

Rational numbers are a subset of the set of real numbers. This statement is correct.

So complex numbers are not rational. Not all complex numbers are rational, but an infinite number of them are.
Click to expand...

\(\displaystyle \frac{1}{4} \; + \; 0 \cdot i\)

 
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